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math-ph2003★ 1 cited
Nonrelativistic conformal structures
P. A. Horvathy
The ``Kaluza-Klein-type'' geometric structure appropriate to study the central extension of the Galilei group and non-relativistic physics is reviewed.
math-ph1998
An integrable time-dependent non-linear Schrödinger equation
P. A. Horváthy, J. -C. Yéra
The cubic non-linear Schrödinger equation (NLS), where the coefficient of the non-linear term can be a function , is shown to pass the Painlevé test of Weiss, Tabor, and Ca…